Question

calculate standard deviation from the following data
s.no. :- 1 2 3 4 5
marks:- 10 12 13 15 20​

Answer 1

Answer

Scores

x Frequence

f fx Deviation from mean d=(x−

x

) d

2

fd

2

10 4 40 −19 361 1444

20 3 60 −9 81 243

30 6 180 +1 1 6

40 5 200 +11 121 605

50 2 100 +21 441 882

n=20 ∑fx=580 ∑fd

2

=3180

(i) Arithmetic mean =

x

=

n

∑fx

=

20

580

=29

∴Mean=

x

=29

(ii) σ=

n

∑fd

2

=

20

3180

=

159

=12.61

∴σ=12.61

(iii) C.V=

x

σ

×100=

29

12.61

×100=

29

1261

=43.48

∴C.V.=43.48

Answer 2

Answer:

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